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Contraction Elimination in Sequent Based Ground Equational Calculus

Logic 2016-01-01 v1

Abstract

In "Cut Elimination for Gentzen's Sequent Calculus with Equality and Logic of Partial Terms" LNCS 7750,161-172(2013), we have shown that the cut rule is eliminable in two ground equational sequent calculi, to be denoted by EQ_M and EQ'. In this note we prove that the contraction rule is not eliminable in EQ_M but it is eliminable in EQ'.

Cite

@article{arxiv.1512.09171,
  title  = {Contraction Elimination in Sequent Based Ground Equational Calculus},
  author = {F. Parlamento and F. Previale},
  journal= {arXiv preprint arXiv:1512.09171},
  year   = {2016}
}

Comments

7 pages

R2 v1 2026-06-22T12:20:37.060Z